Dasvaan Hissa

Class 7 Maths · Chapter 3: Point ke Aage Ek Jhalak · NCERT Ganita Prakash section 3.1–3.2

Seekho

Kabir screw se shelf laga raha hai. Do screw ek jaise dikhte hain, par ek fit nahi hota: wo thoda lamba hai! Sirf poore centimetre wale ruler par dono "2 cm aur 3 cm ke beech" hain. Fark dekhne ke liye chhoti ikaai chahiye: har centimetre ko 10 barabar hisson mein baanto.

1 cm = 10 one-tenths

Har chhota hissa unit ka ek-dasvaan (1/10) hai. Jo screw 2 poore cm aur 7 chhote hisse tak jaata hai, wo 2 aur 7 tenths cm: 2 + 7/10. Ye 27 tenths bhi hai, kyunki 2 poore unit = 20 tenths. 2 7/10 ko padhte hain "two and seven-tenths".

2 + 7/10 = 27/10

Tenths jodna: Meher ki nichli baanh 2 7/10 unit aur upari 3 6/10 unit. Units aur tenths alag jodo: (2 + 3) units aur (7 + 6) tenths = 5 units aur 13 tenths. Par 10 tenths = 1 unit, to ye 6 units aur 3 tenths = 6 3/10. Ya tenths mein: 27/10 + 36/10 = 63/10.

2 7/10 + 3 6/10 = 6 3/10

Ghataana: 12 4/10 − 6 7/10. 4 tenths se 7 tenths nahi ghata sakte, to ek unit ko 10 tenths mein todo: 12 4/10 = 11 14/10. Ab 14 − 7 = 7 tenths aur 11 − 6 = 5 units: 5 7/10. Bilkul whole numbers mein udhaar lene jaisa.

12 4/10 − 6 7/10 = 5 7/10

Explore: number line par tenths.

1. Marker ko 2 7/10 par rakho (lamba screw).
2. Marker ko 23 tenths par rakho.
3. Marker ko 2 aur 3 ke beecho-beech rakho.

Yaad rakho

• Unit ko 10 barabar hisson mein baanto: har ek one-tenth (1/10).
• 2 7/10 = 27 tenths; 10 tenths = 1 unit, to 13 tenths = 1 unit aur 3 tenths.

Quick check

4 units aur 3 tenths kitne tenths hain?

1. 43
2. 7
3. 430
4. 34

Socho

Naapte samay unit ko chhote hisson mein kyun baant-te hain?

Practice

Teen levels (easy, medium, hard) ke naye sawaalon se practice karo, kuch hands-on, hints aur hal ke saath. Topic poora karne ke liye pichhle 5 mein se 4 sahi karo.